Proof of the combinatorial kirillov-Reshetikhin conjecture

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Abstract

In this paper, we give a direct proof of the equality of certain generating function associated with tensor product multiplicities of Kirillov-Reshetikhin modules of the untwisted Yangian for each simple Lie algebra g. Together with the theorems of Nakajima and Hernandez, this gives the proof of the combinatorial version of the Kirillov-Reshetikhin conjecture, which gives tensor product multiplicities in terms of restricted fermionic summations.

Original languageEnglish (US)
Article numberrnn006
JournalInternational Mathematics Research Notices
Volume2008
Issue number1
DOIs
StatePublished - Dec 1 2008

ASJC Scopus subject areas

  • Mathematics(all)

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